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02025nam a2200277a 44500 |
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151212s1974#######|||||||||||||||||eng|d |
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|a AR-CdUBP
|b spa
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| 041 |
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|a eng
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| 100 |
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|a Bolker, Ethan D.
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| 245 |
1 |
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|a First year calculus /
|c Ethan D. Bolker, Joseph W. Kitchen
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| 260 |
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|a Reading, Massachusetts :
|b Addison-Wesley,
|c 1974
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| 300 |
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|a xii, 853 p. ;
|c 22 cm.
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| 505 |
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|a Part I. THE DERIVATIVE. 1. Variables and functions. 2. Linear relationships. 3. The derivative. 4. Computing derivatives. 5. Rates of change. 6. Linear approximation. 7. Products and quotients. 8. Composite functions. 9. Inverse functions. 10. Continuous functions. 11. Curve sketching. 12. Maxima and minima. 13. Curves described parametrically. 14. Antiderivatives. Part II. THE INTEGRAL. 15. Estimating areas. 16. Velocities, distances, sums, integrals. 17. Fundamental theorem of calculus: second form. 18. Problems leading to definite integrals. 19. Fundamental theorem of calculus: first form. 20. A formal definition of the definite integral. 21. Integration by substitution. 22. Integration by parts. 23. More about areas and volumes. Part III. TRANSCENDENTAL METHODS. 24. The law of organic growth. 25. Differential equations. 26. Powers and logarithms and the exponential function. 28. Using logs and exponentials. 29. Differential equations (again). 30. Harmonic motion and its relatives. 31. Computation of the exponential and logarithmic functions. 32. Polynomial algebra. 33. Taylor´s theorem and lagrange´s theorem. 34. Further applications of Taylor´s and Lagrange´s theorems. Appendixes. A. Trigonometry. B. Binomial coefficients and the binomial theorem. C. The mean-value theorem and its consequences.
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| 650 |
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|a CALCULO
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| 650 |
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4 |
|a TRIGONOMETRIA
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| 653 |
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|a MATEMATICAS
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| 700 |
1 |
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|a Kitchen, Joseph W.
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| 930 |
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|a MATEMATICAS
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| 931 |
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|a 00396
|b UBP
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| 942 |
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|c BK
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| 945 |
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|a EBA
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| 984 |
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|a 517
|b B638
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| 999 |
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|c 16012
|d 16012
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